Brewer Evans
01/22/2023 · Middle School
sof Equations and Inequalities with held questions: now vewng the questons you held earller. Please submit on onswer or pass. The marching band is selling candy bars and fruit snacks for a fundraiser. Candy bars are sold for \( \$ 2.50 \) and fruit snacks are \( \$ 1.50 \). A total of 650 items were sold, bringing in \( \$ 1,195 \). How many candy bars were sold?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let's denote the number of candy bars sold as \( x \) and the number of fruit snacks sold as \( y \).
We are given the following information:
1. Candy bars are sold for $2.50 each.
2. Fruit snacks are sold for $1.50 each.
3. A total of 650 items were sold.
4. The total revenue from selling the items was $1,195.
We can set up the following equations based on the given information:
1. The total number of items sold is 650: \( x + y = 650 \)
2. The total revenue from selling the items is $1,195: \( 2.50x + 1.50y = 1195 \)
We can solve this system of equations to find the number of candy bars sold.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
\(\left\{ \begin{array}{l}x+y=650\\2.5x+1.5y=1195\end{array}\right.\)
- step1: Solve the equation:
\(\left\{ \begin{array}{l}x=650-y\\2.5x+1.5y=1195\end{array}\right.\)
- step2: Substitute the value of \(x:\)
\(2.5\left(650-y\right)+1.5y=1195\)
- step3: Simplify:
\(1625-y=1195\)
- step4: Move the constant to the right side:
\(-y=1195-1625\)
- step5: Subtract the numbers:
\(-y=-430\)
- step6: Change the signs:
\(y=430\)
- step7: Substitute the value of \(y:\)
\(x=650-430\)
- step8: Simplify:
\(x=220\)
- step9: Calculate:
\(\left\{ \begin{array}{l}x=220\\y=430\end{array}\right.\)
- step10: Check the solution:
\(\left\{ \begin{array}{l}x=220\\y=430\end{array}\right.\)
- step11: Rewrite:
\(\left(x,y\right) = \left(220,430\right)\)
The solution to the system of equations is \( x = 220 \) and \( y = 430 \).
Therefore, 220 candy bars were sold.
Quick Answer
220 candy bars were sold.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit